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arXiv 0907.0205hep-ph
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含散射的薄生波耳兹曼方程

Full Boltzmann equations for leptogenesis including scattering

F. Hahn-Woernle, M. Plumacher, Y. Y. Y. Wong

摘要:

我们研究了宇宙学重子不对称性的演化通过leptogenesis通过完整的经典玻尔兹曼方程,没有动力学平衡的假设,并包括所有的量子统计因素。从全模方程开始,我们推导出通常的右手中微子数密度和积分轻子不对称性的运动方程,并明确显示每个假设对这些量的影响。我们还首次用全Boltzmann方程研究了右手中微子与顶夸克的散射对汤川耦合中首阶的影响。我们发现,在我们的完整玻尔兹曼处理的最终轻子的不对称性可以被抑制了1.5倍,在弱洗出制度(K<1),相比,通常的集成方法,假设动力学平衡和忽略量子统计。这种抑制与以前的一些研究中看到的增强形成对比,这些研究只考虑右手中微子的衰变和逆衰变。然而,这种抑制随着K的增加而迅速降低。在强洗出区(K>1),完全玻尔兹曼处理和积分方法给出了几乎相同的最终轻子不对称性(在K>3时彼此相差10%以内)。最后,我们表明,相对的影响,量子统计的衰变/逆衰变和散射过程往往会减少净重要性的散射leptogenesis在充分的治疗相比,集成的方法。

英文摘要:

We study the evolution of a cosmological baryon asymmetry produced via leptogenesis by means of the full classical Boltzmann equations, without the assumption of kinetic equilibrium and including all quantum statistical factors. Beginning with the full mode equations we derive the usual equations of motion for the right-handed neutrino number density and integrated lepton asymmetry, and show explicitly the impact of each assumption on these quantities. For the first time, we investigate also the effects of scattering of the right-handed neutrino with the top quark to leading order in the Yukawa couplings by means of the full Boltzmann equations. We find that in our full Boltzmann treatment the final lepton asymmetry can be suppressed by as much as a factor of 1.5 in the weak wash-out regime (K<1), compared to the usual integrated approach which assumes kinetic equilibrium and neglects quantum statistics. This suppression is in contrast with the enhancement seen in some previous studies that considered only decay and inverse decay of the right-handed neutrino. However, this suppression quickly decreases as we increase K. In the strong wash-out regime (K>1), the full Boltzmann treatment and the integrated approach give nearly identical final lepton asymmetries (within 10 % of each other at K>3). Finally, we show that the opposing effects of quantum statistics on decays/inverse decays and the scattering processes tend to reduce the net importance of scattering on leptogenesis in the full treatment compared to the integrated approach.

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